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MMLU / The height (in meters) of a shot cannonball follows a trajectory given by …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The height (in meters) of a shot cannonball follows a trajectory given by h(t)=−4.9t2+14t−0.4h(t) = -4.9t^2 + 14t - 0.4 at time tt (in seconds). As an improper fraction, for how long is the cannonball above a height of 66 meters?
Plain-text mathematical notation (without MathML)
The height (in meters) of a shot cannonball follows a trajectory given by h(t)=−4.9t²+14t−0.4 at time t (in seconds). As an improper fraction, for how long is the cannonball above a height of 6 meters?
Original LaTeX notation
The height (in meters) of a shot cannonball follows a trajectory given by $h(t) = -4.9t^2 + 14t - 0.4$ at time $t$ (in seconds). As an improper fraction, for how long is the cannonball above a height of $6$ meters?

choices

  1. \frac{5}{7}
  2. \frac{7}{12}
  3. \frac{12}{7}
  4. \frac{7}{5}

subject

high_school_mathematics

Discussion

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Source and history

task_id
75b3a643-ebee-5073-8eae-748965d17ad0
task_key
all--test--75b3a643-ebee-5073-8eae-748965d17ad0
task_revision_id
1
config / split
all / test

Official source

initial import